Solution: Sliding Window Median
Explore solving the sliding window median problem by using a dual heap approach combined with a hashmap to maintain balance and optimize median retrieval within a moving window. Understand how to implement max and min heaps to handle dynamic data efficiently and how to rebalance these structures as elements slide through the window. This lesson provides a clear explanation of time and space complexities while illustrating a practical approach to handling median calculations over subarrays.
We'll cover the following...
Statement
Given an integer array, nums, and an integer, k, there is a sliding window of size k, which is moving from the very left to the very right of the array. We can only see the k numbers in the window. Each time the sliding window moves right by one position.
Given this scenario, return the median of the each window. Answers within of the actual value will be accepted.
Constraints:
-
knums.length